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Oberwolfach Reports


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Volume 17, Issue 4, 2020, pp. 1823–1856
DOI: 10.4171/OWR/2020/37

Published online: 2021-09-13

Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings

Simon Blatt[1], Philipp Reiter[2] and Armin Schikorra[3]

(1) Universit├Ąt Salzburg, Austria
(2) Technische Universit├Ąt Chemnitz, Germany
(3) University of Pittsburgh, USA

Both self-avoidance and self-contact of geometric objects can be modeled using repulsive energies that separate isotopy classes. Giving rise to nonlocal operators, they are interesting objects in their own right. Moreover, their analytical structure allows for devising numerical schemes enjoying robust features such as energy stability. This workshop aimed at discussing recent trends in this matter, including potential applications to modeling.

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Blatt Simon, Reiter Philipp, Schikorra Armin: Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings. Oberwolfach Rep. 17 (2020), 1823-1856. doi: 10.4171/OWR/2020/37